150641400 has 384 divisors, whose sum is σ = 599961600. Its totient is φ = 30412800.

The previous prime is 150641377. The next prime is 150641401. The reversal of 150641400 is 4146051.

150641400 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150641401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1692556 + ... + 1692644.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^150641400 is an apocalyptic number.

150641400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299980800).

150641400 is an abundant number, since it is smaller than the sum of its proper divisors (449320200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150641400 is a wasteful number, since it uses less digits than its factorization.

150641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 150641400 is about 12273.6058271398. The cubic root of 150641400 is about 532.0855290532.

Adding to 150641400 its reverse (4146051), we get a palindrome (154787451).

The spelling of 150641400 in words is "one hundred fifty million, six hundred forty-one thousand, four hundred".